Wiki topic outline

Learning Objective:

• we are learning to derive simple formulae
• substitute into simple formulae

Investing:

• This is useful because...
• A functional (real-life) application is using substitution when deciding which car to hire
• This skill leads to developing a range of problem solving techniques
• A 'free gift' with this skill is that we can now also...
• This could help you if you want to work in...

Preparing:

• Are we ready? Can you already... ?
• Let's be sure you can substitute into simple expressions
• Before you start you need to know: order of operation
• You will have a deeper understanding if you also know:

Discovering:

• You are going to hire a car for one week. You have enquired about 3 car hire companies; their prices are given below. Which one of the companies should you use?
• A2 Cars £200 per week unlimited mileage
• B1 Autos £11 per day, 7.5p per mile
• C1 Autos £50 per week 450 free miles, 20p per mile over 450 miles
• Investigate...

Modeling:

• Draw a table from 100 to 2000 miles showing the price every 100 miles
• From your table of results answer the following questions

1. You estimate that your total mileage will be 4o0 miles, which company should you use?
2. You estimate that your total mileage will be 1100 miles, which company should you use?
3. You estimate that your total mileage will be 1750 miles, which company should you use?

Discussing:

• What would this one be? Tell your learning partner. Convince them you're right.
• Explain how you know.
• How would you explain this to someone who was new to it?

Explaining:

• One way to do this is...
• Another approach might be...
• A useful shortcut is to...
• This works because...
• It doesn't work when...
• An exception is...
• Watch out for...
• A common mistake is...
• You can check your result by...
• We can prove this works by...

Practicing:

• Some straightforward examples.
• Some harder examples.
• Some mixed examples.
• Some non-examples to spot and some mixed questions with redundant, insufficient or contradictory data.
• You can demonstrate fluency by at least...

Sharing:

• A web page or wiki I have created to explain this can be found at...
• A presentation I have created and rehearsed looks like...
• A poster I have drawn or model I have made can be found...

Assessing:

• Check you've mastered this skill by...
• Show you understand by explaining...
• Prove you're an expert in... by...

Developing:

• Next we could learn...
• This leads to...
• Now try...